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Finding the Third Proportional to 424,471.25 and 603,496.63

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Solution

The third proportional to 424,471.25 and 603,496.63 is: 858,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,471.25 : 603,496.63 = 603,496.63 : x
  2. Step 2: Convert to fraction form
    424,471.25/603,496.63 = 603,496.63/x
  3. Step 3: Cross multiply
    424,471.25x = 603,496.63 × 603,496.63
  4. Step 4: Simplify right side
    424,471.25x = 364,208,176,386.39
  5. Step 5: Solve for x
    x = 364,208,176,386.39/424,471.25
  6. Step 6: Final answer
    x = 858,027.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.